Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory (Universitext)

Ambrosio, Luigi; Dancer, Norman

ISBN 10: 3540648038 / ISBN 13: 9783540648031

Published by Springer, 2000

About this Item

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Bibliographic Details

• Title: Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory (Universitext)
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 3540648038
• ISBN 13: 9783540648031
• Binding: Soft cover
• Condition: good

About this title

Synopsis

At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

From the Back Cover

The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.